Pith Number

pith:UJ737HJG

pith:2009:UJ737HJG5RTINRNUNETQCUXS4L

not attested not anchored not stored refs pending

The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D

Christophe Gay, Christophe Pichon, Dmitri Pogosyan

arxiv:0907.1437 v2 · 2009-07-09 · astro-ph.CO · math-ph · math.MP · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ737HJG5RTINRNUNETQCUXS4L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:34:39.004323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27fbf9d26ec6686c5b469270152f2e2fc4b045647197e32c400bf577b57fbc2

Aliases

arxiv: 0907.1437 · arxiv_version: 0907.1437v2 · doi: 10.48550/arxiv.0907.1437 · pith_short_12: UJ737HJG5RTI · pith_short_16: UJ737HJG5RTINRNU · pith_short_8: UJ737HJG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UJ737HJG5RTINRNUNETQCUXS4L \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a27fbf9d26ec6686c5b469270152f2e2fc4b045647197e32c400bf577b57fbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229b67751c3b4ab8ea5e67336fb732a6859a479ad5727db9c452df8d63099821",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-09T13:27:09Z",
    "title_canon_sha256": "aa02a96d56ca30e022171ca61fa88c0a21304c923bbac80a5a0ff7121dacbeb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1437",
    "kind": "arxiv",
    "version": 2
  }
}